Search a number
-
+
80251008 = 2731032029
BaseRepresentation
bin1001100100010…
…00100010000000
312121000011200120
410302020202000
5131021013013
611544020240
71663056645
oct462104200
9177004616
1080251008
1141332852
1222a61680
131381a706
14a92ddcc
1570a3123
hex4c88880

80251008 has 64 divisors (see below), whose sum is σ = 215342400. Its totient is φ = 26477568.

The previous prime is 80250997. The next prime is 80251013. The reversal of 80251008 is 80015208.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38538 + ... + 40566.

It is an arithmetic number, because the mean of its divisors is an integer number (3364725).

Almost surely, 280251008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671200).

80251008 is an abundant number, since it is smaller than the sum of its proper divisors (135091392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80251008 is a wasteful number, since it uses less digits than its factorization.

80251008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 80251008 is about 8958.2926944815. The cubic root of 80251008 is about 431.3371177917.

The spelling of 80251008 in words is "eighty million, two hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2029 2472 3296 4058 4944 6087 6592 8116 9888 12174 13184 16232 19776 24348 32464 39552 48696 64928 97392 129856 194784 208987 259712 389568 417974 626961 779136 835948 1253922 1671896 2507844 3343792 5015688 6687584 10031376 13375168 20062752 26750336 40125504 80251008